# Solve for c 2/3+c=-5/8

23+c=-58
Subtract 23 from both sides of the equation.
c=-58-23
To write -58 as a fraction with a common denominator, multiply by 33.
c=-58⋅33-23
To write -23 as a fraction with a common denominator, multiply by 88.
c=-58⋅33-23⋅88
Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.
Multiply 58 and 33.
c=-5⋅38⋅3-23⋅88
Multiply 8 by 3.
c=-5⋅324-23⋅88
Multiply 23 and 88.
c=-5⋅324-2⋅83⋅8
Multiply 3 by 8.
c=-5⋅324-2⋅824
c=-5⋅324-2⋅824
Combine the numerators over the common denominator.
c=-5⋅3-2⋅824
Simplify the numerator.
Multiply -5 by 3.
c=-15-2⋅824
Multiply -2 by 8.
c=-15-1624
Subtract 16 from -15.
c=-3124
c=-3124
Move the negative in front of the fraction.
c=-3124
The result can be shown in multiple forms.
Exact Form:
c=-3124
Decimal Form:
c=-1.2916‾
Mixed Number Form:
c=-1724
Solve for c 2/3+c=-5/8

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